Find α and β: Parallel Lines with 38° and 140° Angles

We will mark the angle opposite the vertex of 38 with the number 1, therefore, angle 1 is equal to 38 degrees.

We will mark the angle adjacent to angle $\beta$ with the number 2. And since angle 2 corresponds to the angle 140, angle 2 will be equal to 140 degrees

Since we know that angle 1 is equal to 38 degrees we can calculate the angle$\alpha$ $\alpha=180-38=142$

Now we can calculate the angle$\beta$

180 is equal to angle 2 plus the other angle$\beta$

Since we are given the size of angle 2, we replace the equation and calculate:

$\beta=180-140=40$